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For filling factors $\nu$ in the range between 4.16 and 4.28, wesimultaneously detect {\it two} resonances in the real diagonal microwaveconductivity of a two--dimensional electron system (2DES) at low temperature $T\approx 35$ mK. We attribute the resonances to Wigner crystal and Bubble phasesof the 2DES in higher Landau Levels. For $\nu$ below and above this range, onlysingle resonances are observed. The coexistence of both phases is taken asevidence of a first order phase transition. We estimate the transition point as$\nu=4.22$.Comment: 4 pages, 3 figs. Revtex

Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels